Consider the first order linear equation

$t{y}^{\text{'}}-2y=e^{-t}sin(2t),t>0$

What is a suitable integrating factor that could be used to solve this equation?

A$)(t)=t^2$

B$)(t)=e^{2t}$

C$)(t)=e^{-2t}$

D$)(t)=\frac{1}{t^2}$